Optimal Pole Shifting for Discrete Time Systems

Arar, A.S.; Sawan, M.E.

doi:10.23919/acc.1992.4792265

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2013

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“…One of the common features of all the aforementionned references is exploiting some interesting properties of the Algebraic Riccati Equation (ARE) associated with a linear-quadratic problem. This includes the mirror effect as in [26], the α-stability approach for continuous time [5], the ρ-stability for discrete time [10] and the introduction of some parameters in the ARE as in [27,4,6]. Most of the proposed methods deal with a multiple step procedure where in each step, one real pole or a pair of complex poles are shifted to a desired location.…”

Section: Introductionmentioning

confidence: 99%

A gametheoretic approach for non-uniform pole shifting and pole homothety

Jungers

Abou-Kandil

Castelan³

et al. 2013

Automatica

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This paper investigates the problems of non-uniform pole shifting or pole homothety in multivariable linear systems by using a gametheoretic approach and more specifically a particular Nash strategy with an open-loop information structure for a game including a time preference rate in the quadratic criteria. Such a result is possible due to properties of non-symmetric Algebraic Riccati equations associated with an open-loop Nash strategy. Numerical examples allow to illustrate the efficiency of the proposed approach.

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